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Asymptotic Stability and Exponential Stability of Impulsive Delayed Hopfield Neural Networks

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  • Jing Chen
  • Xiaodi Li
  • Dequan Wang

Abstract

A criterion for the uniform asymptotic stability of the equilibrium point of impulsive delayed Hopfield neural networks is presented by using Lyapunov functions and linear matrix inequality approach. The criterion is a less restrictive version of a recent result. By means of constructing the extended impulsive Halanay inequality, we also analyze the exponential stability of impulsive delayed Hopfield neural networks. Some new sufficient conditions ensuring exponential stability of the equilibrium point of impulsive delayed Hopfield neural networks are obtained. An example showing the effectiveness of the present criterion is given.

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  • Jing Chen & Xiaodi Li & Dequan Wang, 2013. "Asymptotic Stability and Exponential Stability of Impulsive Delayed Hopfield Neural Networks," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, September.
    • Handle: RePEc:hin:jnlaaa:638496
    DOI: 10.1155/2013/638496
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